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211230144 = 26321919301
BaseRepresentation
bin11001001011100…
…01110111000000
3112201110121021200
430211301313000
5413033331034
632543221200
75143266216
oct1445616700
9481417250
10211230144
11a9263374
125a8a7800
13349b9a68
14200a6cb6
1513826a99
hexc971dc0

211230144 has 84 divisors (see below), whose sum is σ = 637352040. Its totient is φ = 66700800.

The previous prime is 211230143. The next prime is 211230157. The reversal of 211230144 is 441032112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211230143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1294 + ... + 20594.

Almost surely, 2211230144 is an apocalyptic number.

211230144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318676020).

211230144 is an abundant number, since it is smaller than the sum of its proper divisors (426121896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211230144 is a wasteful number, since it uses less digits than its factorization.

211230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19338 (or 19325 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 211230144 is about 14533.7587705315. The cubic root of 211230144 is about 595.5505522545.

Adding to 211230144 its reverse (441032112), we get a palindrome (652262256).

The spelling of 211230144 in words is "two hundred eleven million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 5472 10944 19301 38602 57903 77204 115806 154408 173709 231612 308816 347418 366719 463224 617632 694836 733438 926448 1100157 1235264 1389672 1466876 1852896 2200314 2779344 2933752 3300471 3705792 4400628 5558688 5867504 6600942 8801256 11117376 11735008 13201884 17602512 23470016 26403768 35205024 52807536 70410048 105615072 211230144